Greatest Common Factor of 2668/30, 3131/967

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2668/30, 3131/967

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 2668/30,3131/967

Given fractions are 2668/30,3131/967

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 2668,3131

Greatest Common Factor of Numerators i.e. GCF of 2668,3131 is 1 .

LCM of Denominators means LCM of 30,967 as per the given fractions.

LCM of 30,967 is 29010 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2668,3131

GCF of Fractions 2668/30,3131/967 is 1/29010

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 2668,3131 By Matching Biggest Common Factor Method

Greatest Common Factor of 2668,3131 By Matching Biggest Common Factor Method

Factors of 2668

List of positive integer factors of 2668 that divides 2668 without a remainder.

1,2,4,23,29,46,58,92,116,667,1334,2668

Factors of 3131

List of positive integer factors of 3131 that divides 3131 without a remainder.

1,31,101,3131

Greatest Common Factor

We found the factors 2668,3131 . The biggest common factor number is the GCF number.
So the greatest common factor 2668,3131 is 1.

Lets's calculate LCM of 30,967

Given numbers has no common factors except 1. So, there LCM is their product i.e 29010

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/29010

Therefore, the GCF of Fractions 2668/30,3131/967 is 1/29010

Least Common Multiple of 30,967 with GCF Formula

Least Common Multiple of 30,967 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 30,967 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(30,967) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(30,967) x common factors =1 x 1 = 1

LCM(30,967) = ( 30 × 967 ) / 1

LCM(30,967) = 29010 / 1

LCM(30,967) = 29010


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 2668/30, 3131/967

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 2668/30, 3131/967?

Answer: GCF of Numerators as per given numbers 2668/30, 3131/967 is

GCF of Numerators i.e. for 2668,3131 is 1

LCM of denominators i.e. for 30,967 is 29010.

Thus, GCF of Fractions is 1/29010.Finally, GCF of Fractions for 2668/30, 3131/967 is 1/29010.